Question

a probability experiment consists of rolling a fair 18-sided die, numbered 1 to 18. find the probability of the event below.

rolling a number divisible by 5

the probability is .
(type an integer or decimal rounded to three decimal places as needed.)

Explanation:

Identify the sample space

Using the Sample Space Outcomes knowledge point

$$ S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18\} $$

$$ n(S) = 18 $$

Identify the favorable outcomes

Using the Simple Event knowledge point

$$ E = \{5, 10, 15\} $$

$$ n(E) = 3 $$

Calculate the probability

Using the Probability Axioms knowledge point

$$ P(E) = \frac{n(E)}{n(S)} = \frac{3}{18} = \frac{1}{6} \approx 0.167 $$

Answer:

A probability experiment consists of rolling a fair 18-sided die, numbered 1 to 18. Find the probability of the event below.

rolling a number divisible by 5

The probability is <blank>0.167</blank>.
(Type an integer or decimal rounded to three decimal places as needed.)